Length Vector Effect in a general direction
r and r′ denote length scalars for the selected direction. The manuscript’s arrow notation and directional meaning are explained in the derivation.
Based on the final manuscript · Chapter 1
r and r′ denote length scalars for the selected direction. The manuscript’s arrow notation and directional meaning are explained in the derivation.
Chapter reference: Final consolidated manuscript · Chapter 1, Section II, Eq. (1.13) · ASD-BOOK-ddbade997b45
Source and ID
ASD-WEB-LVE-008 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.
Return to premises and derivationAdopted source, conditions and previous versions
Final consolidated manuscript · Chapter 1, Section II, Eq. (1.13)
r and r′ denote length scalars for the selected direction. The manuscript’s arrow notation and directional meaning are explained in the derivation.
Conditions retained in this adoption
- A1–A5; tt′≠0; 0≤v<c
- Directed effective length is not an arbitrary Euclidean vector norm
Specific unresolved source issues
- FINAL-CH1-PAIRING
Source locators: p0348
Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e
Download source identity manifest
The manifest identifies the source; it is not the complete manuscript. Adopting this source does not upgrade evidence or grant a new licence.
Previous source, retained as history
CH1-caf38018fc5a · 第一章 §二，式（1.13），PDF 第 7 页
Dependencies
algebraElapsed time along the measurement directionASD-WEB-LVE-007Uses of this equation
Subsequent equationTransverse Length Vector EffectASD-WEB-LVE-001Subsequent equationWavelength response as a length relationASD-WEB-LVE-010Subsequent equationSimplified optical-path balance in a mediumASD-WEB-LVE-014Subsequent equationConstant-speed process and co-directional lengthASD-WEB-LVE-017Subsequent equationLVE scale factor used in dynamicsASD-WEB-DYN-004Subsequent equationRadial moving-field candidateASD-WEB-EM-012Subsequent equationAlternative potential-gradient candidateASD-WEB-EM-013DocumentASD’s Four Physical PillarsDocumentDirectional Clock WorkbenchDocumentLength Vector Effect · Full DerivationDocumentLength Vector EffectDocumentAnisotropic Space Dynamics (ASD)